Anomalous Dimensions of Conformal Baryons

Abstract

We determine the anomalous dimensions of baryon operators for the three color theory as function of the number of massless flavours within the conformal window to the maximum known order in perturbation theory. We show that the anomalous dimension of the baryon is controllably small, within the $\delta$-expansion, for a wide range of number of flavours. We also find that this is always smaller than the anomalous dimension of the fermion mass operator. These findings challenge the partial compositeness paradigm.

4 pages, 4 figures. Matches published version

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• Partial compositeness and baryon matrix elements on the lattice
• Scheme-Independent Series Expansions at an Infrared Zero of the Beta Function in Asymptotically Free Gauge Theories
• Effective potential in ultraviolet completions for composite Higgs models
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• $SU(2)$ Gauge Theory with Two Fundamental Flavours: Scalar and Pseudoscalar Spectrum
• Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories
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• Implications of Vector Boson Scattering Unitarity in Composite Higgs Models
• Nambu-Jona-Lasinio model with Wilson fermions
• Real and Complex Fundamental Partial Compositeness
• The anomalous dimension of spin-1/2 baryons in many flavors QCD
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• Viscous Conformal Gauge Theories